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13820419382 = 2711217479909
BaseRepresentation
bin11001101111100001…
…01101110100110110
31022200011120001021112
430313300231310312
5211301011410012
610203215315022
7666324424610
oct146760556466
938604501245
1013820419382
1159522a2700
12281851ba72
1313c3353b63
149516cbdb0
1555d4ae122
hex337c2dd36

13820419382 has 48 divisors (see below), whose sum is σ = 27573708960. Its totient is φ = 5067828480.

The previous prime is 13820419373. The next prime is 13820419397. The reversal of 13820419382 is 28391402831.

It is a super-2 number, since 2×138204193822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211157 + ... + 268752.

It is an arithmetic number, because the mean of its divisors is an integer number (574452270).

Almost surely, 213820419382 is an apocalyptic number.

13820419382 is a deficient number, since it is larger than the sum of its proper divisors (13753289578).

13820419382 is a wasteful number, since it uses less digits than its factorization.

13820419382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479957 (or 479946 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 13820419382 in words is "thirteen billion, eight hundred twenty million, four hundred nineteen thousand, three hundred eighty-two".

Divisors: 1 2 7 11 14 17 22 34 77 119 121 154 187 238 242 374 847 1309 1694 2057 2618 4114 14399 28798 479909 959818 3359363 5278999 6718726 8158453 10557998 16316906 36952993 57109171 58068989 73905986 89742983 114218342 116137978 179485966 406482923 628200881 812965846 987172813 1256401762 1974345626 6910209691 13820419382